Answer:
23.31 ft
Step-by-step explanation:
Reference angle = 47°
Opp = 25 ft
Adj = x
Apply trigonometry ratio TOA:
Tan 47 = Opp/Adj
Tan 47 = 25/x
x*Tan 47 = 25
x = 25/Tan 47
x = 23.3128772 ≈ 23.31 ft (to 2 d.p)
The sum of cubes is given as:
a³ + b³ = (a + b)(a² - ab + b²)
Example for the sum of cubes:
64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers
By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)
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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)
Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)
Answer:
A 25% tip on a bill of $68.28 rounded to $70 would be <u>$17.50</u>
STEPS
<em>Step 1: </em>Round $68.28 to $70.00
<em>Step 2:</em> convert 25% to a decimal-------- .25
<em>Step 3:</em> multipy .25 x 70= 17.5
Let me know if you need any other help!!
Answer:
Step-by-stepapex answer to the left of 9.9 and to the right of 9.3 explanation:
